Turkey housing for cold climates?

I ordered a few BR turkey poults and need to build them a coop. What type of housing do they need for overwintering in cold climates?

The wild turkeys and quail hang around all winter just a half mile south of my house, so I wasn't sure if turkeys will need an enclosed coop or if they can roost in a three sided shed (with a wire front to keep predators out). If so, I could convert one of my existing run-in sheds.

I don't heat any of the buildings, but the hen house is insulated. My hen house is something like 10' x 20', there is a 12' x 12' outdoor run attached that they can access 24/7. I had about 40 hens and 4 turkeys in there. It was a little more crowded than I liked, but they all had water available all winter.

I'm in South Dakota, and I originally had my pair in with my laying hens for winter, until I caught my Tom crushing a laying hen, in an attend to mount the poor girl!

So I moved the turkeys to a pallet shed that was wrapped in plastic sheeting n a plywood sheet was used as a roof. They had the orchard to stroll in all winter n I herded them back each night n shut them in. In bad weather I just didn't let them out. They seemed to like that shelter better then being in the hen house n enclosed aviary run.